I think the CDC's original statements on masks (they aren't necessary, they're only effective at preventing the spread of COVID if the wearer has a medical degree, don't wear masks on planes, etc) contributed a lot to the distrust and politicization of mask wearing.
When you expect an institution to always be impartial and tell the truth, those sorts of white lies can quickly erode trust.
When you expect an institution to always be impartial and tell the truth, those sorts of white lies can quickly erode trust.